Exact low-density free energy and algebraic tails of static correlations in quantum plasmas in a uniform magnetic field

Laboratoire de Physique, Laboratoire associé au CNRS URA 1325, Ecole Normale Supérieure de Lyon - 46, allée d'Italie, F-69364 Lyon Cedex 07, France

Received: 20 January 1997
Accepted: 11 February 1997

Abstract

In nonrelativistic Coulomb plasmas with quantum dynamics and statistics, the effect of an external uniform magnetic field upon thermodynamics and the algebraic tails of position correlations is discussed. The results are obtained in the framework of a path integral formalism. The exact virial expansion of the free-energy density at finite temperature is calculated up to order in the density ρ. It exhibits the interplay of Coulomb interactions and quantum statistics with bare diamagnetism and paramagnetism. Moreover, the static particle correlations are shown to decay as  at large distances r, and the exact analytical coefficients of these tails are given at first order in ρ.